Moreover, concerning the arguments of an instability of the KKLT string theory construction, we have explained in Sec.  that one cannot reach such a conclusion based on the analysis performed in [1]}. This argument is completely independent of the discussion above and relies on the simple observation that the VA theory arise at low energies for any theory with a (partially) supersymmetry breaking vacuum. Clearly not all such theories have unstable vacua. The loophole in the analysis presented in [1]} is stated at the end of their introduction. The authors assume the absence of light states below their cut-off scale. Given that the SUSY breaking scale in the KKLT scenario is set by the warped down string scale, which is above the warped down KK scale, there are many additional light fields in the KKLT construction. In particular, a single anti-D3-brane has among its worldvolume fields a massless U(1) gauge field [3]}. Such light modes were not taken into account in [1]} and therefore one cannot claim that the work in [1]} applies to the anti-D3-brane in the KKLT scenario.
